Respuesta :

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Here's the solution :

  • [tex] \sqrt{x + 5} = \sqrt{x - 5} [/tex]

squaring both sides :

  • [tex]x + 5 = x - 5[/tex]

here , x is present on both sides and cancel out each other

so, value of x can't be determined. hence the expression has no solution ~

Solution:

[tex] \sqrt{x + 5} = \sqrt{x - 5} \\ = > ( \sqrt{x + 5} )^{2} = ( \sqrt{x - 5} ) ^{2} \\ = > x + 2 \sqrt{5} x + 5 = x - 2 \sqrt{5} x + 5 \\ = > x - x = - 2 \sqrt{5} x + 5 - 2 \sqrt{5} x - 5[/tex]

So the value of x cannot be determined. Hence it has no solution.

ACCESS MORE